Analysis and Modeling of Fuzzy Network Planning Considering Complicated Activity Relationships
Wang De-dong · Journal of Tianjin University Science and Technology · 2006
Based on analysis of contradiction between inherent relativity of network planning topology structure among activities and independent requirement of activity's time parameters during fuzzy network planning calculation , probability statistics method is applied to new definitions of fuzzy number operations, which first converts fuzzy parameters to determinate ones in virtue of probability statistics method and then puts forward the principle of judging the size of two fuzzy numbers. A new fuzzy network planning model is proposed in contrast with existing models, considering not only logical and organizational relationships but also overlapped and specific time limited relationships among activities. Based on the calculation of activity's earliest time parameters, activity's floats are worked out directly, which avoids embarrassment of negative time parameters when computing activity's floats by the calculation of activity latest time parameters. With the help of Visual C++ program, functions of the model are realized which include time parameters calculation, criticality analysis and project period risk analysis. At last, a case study including ten activities is used to demonstrate the application of the model proposed, and validity of model proposed is proved by comparison with another model's results.